This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A374346 #16 Jul 06 2024 12:35:08 %S A374346 1,2,6,20,88,432,2464,14912,111360,912896,8491264,80905728,861835264, %T A374346 9524264960,113218762752,1362387243008,20665650774016,337892698226688, %U A374346 6100999266304000,106342541313572864,2014622956858638336,37864490015441027072 %N A374346 E.g.f. A(x) satisfies A(x) = A(x^2)^(1/2) * exp(2*x) with A(0)=1. %H A374346 Seiichi Manyama, <a href="/A374346/b374346.txt">Table of n, a(n) for n = 0..200</a> %F A374346 E.g.f.: exp( 2 * Sum_{k>=0} x^(2^k)/2^k ). %F A374346 E.g.f.: 1/( Product_{k>=1} (1 - x^(2*k-1))^(mu(2*k-1)/(2*k-1)) )^2, where mu() is the Moebius function. %o A374346 (PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace(exp(2*sum(k=0, ceil(log(N+1)/log(2)), x^2^k/2^k)))) %Y A374346 Cf. A005388, A008683, A118393, A308392. %K A374346 nonn,easy %O A374346 0,2 %A A374346 _Seiichi Manyama_, Jul 05 2024